Re: How to Invert Rows and Columns for a Grid of List of Lists

• To: mathgroup at smc.vnet.net
• Subject: [mg125933] Re: How to Invert Rows and Columns for a Grid of List of Lists
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Sat, 7 Apr 2012 06:00:27 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201204061002.GAA23061@smc.vnet.net>

```a = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
b = {{1, 4, 7}, {2, 5, 8}, {3, 6, 9}};

rules = Thread[Flatten /@ (a -> b)]

{1 -> 1, 2 -> 4, 3 -> 7, 4 -> 2, 5 -> 5, 6 -> 8, 7 -> 3, 8 -> 6,
9 -> 9}

(a /. rules) == b

True

Bob Hanlon

On Fri, Apr 6, 2012 at 6:02 AM,  <brtubb at pdmusic.org> wrote:
> Consider two lists
>
> a = {{1,2,3},{4,5,6},{7,8,9}};
> b = {{1,4,7},{2,5,8},{3,6,9}};
>
> I want to transform a "into" b for use in a project for displaying chord diagrams in a GraphicsGrid. the list values will be used to indicate ArrayPlot scale fingering "dots" for any given tuning. The Riffle function would seem to be the most likely candidate, other than a "brute force" user defined function to do a rules table.
>

```

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